Convexity structures in zero-dimensional compact spaces (Q2770652)
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scientific article; zbMATH DE number 1704019
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convexity structures in zero-dimensional compact spaces |
scientific article; zbMATH DE number 1704019 |
Statements
13 February 2002
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Cantor cube
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Dugundji space
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retract
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supercompact
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inverse system
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convexity
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Convexity structures in zero-dimensional compact spaces (English)
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The authors reprove and improve a result from [\textit{L. Heindorf}, Commentat. Math. Univ. Carol. 33, No. 2, 329-334 (1992; Zbl 0789.54011)], which states that Dugundji spaces have binary closed subbases consisting of closed sets. The improvement is two-fold: the subbase may be taken closed under complementation and the induced convexity structure yields a (continuous) median operation on the underlying space.
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